Generalize state coannihilators in state residuated lattices
In this paper we introduce the notion of generalized state coannihilators in state residuated lattices. We establish a connection between generalized state coannihilators and Galois connection. If A is a state residuated lattice, we show that the set of filters forms a Heyting algebra in which the relative pseudo-complement of G with respect to F is (F : G)ν. Also, we show that the set of state coannihilator filters form a Boolean lattice. Ultimately, we characterize generalized state coannihilators in terms of state prime filters and state minimal prime filters.
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